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Lecture Notes



Lecture Notes

Lecture notes have been posted whenever possible.  Not all lectures are available for distribution.


LEC #TOPICS
1Introduction: Statistical Optics, Inverse Problems (PDF - 1.3 MB)
2Fourier Optics Overview (PDF - 1.4 MB)
3Random Variables: Basic Definitions, Moments
4Random Variables: Transformations, Gaussians
5Examples: Probability Theory & Statistics
6Random Processes: Definitions, Gaussian, Poisson
7Examples: Gaussian Processes
8Random Processes: Analytic Representation
9Examples: Complex Gaussian Processes
101st-Order Light Statistics
11Examples: Thermal & Laser Light
122nd-Order Light Statistics: Coherence
13Example: Integrated Intensity
14The van Cittert-Zernicke Theorem
15Example: Diffraction From An Aperture
16The Intensity Interferometer

Speckle (PDF - 2.4 MB)
17Examples: Stellar Interferometer, Radio Astronomy,
Optical Coherence Tomography
18Effects of Partial Coherence on Imaging
19Information Theory: Entropy, Mutual Information (PDF)
20Example: Gaussian Channels
21Convolutions, Sampling, Fourier Transforms

Information-Theoretic View of Inverse Problems (PDF)
22Imaging Channels

Regularization
23Inverse Problem Case Study: Tomography

Radon Transform, Slice Projection Theorem
24Filtered Backprojection
25Super-Resolution and Image Restoration
26Information-Theoretic Performance of Inversion Methods

 








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